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# If 5^21 * 4^11 = 2 * 10^n what is the value of n? A) 11 B)

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Intern
Joined: 29 Sep 2008
Posts: 7
If 5^21 * 4^11 = 2 * 10^n what is the value of n? A) 11 B)  [#permalink]

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05 Oct 2008, 14:08
If 5^21 * 4^11 = 2 * 10^n what is the value of n?

A) 11
B) 21
C) 22
D) 23
E) 32

Can anyone help me solve this? Much appreciated.

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VP
Joined: 17 Jun 2008
Posts: 1474
Re: Solving for Exponent n  [#permalink]

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05 Oct 2008, 14:15
(4^11)*(5^21) = (2^22)*(5^21) = 2*(10^21).

Hence, n = 21.
Intern
Joined: 29 Sep 2008
Posts: 7
Re: Solving for Exponent n  [#permalink]

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05 Oct 2008, 16:50
Thank you for the help. I obviously have to work on my fundamentals.

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

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Re: Solving for Exponent n &nbs [#permalink] 05 Oct 2008, 16:50
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# If 5^21 * 4^11 = 2 * 10^n what is the value of n? A) 11 B)

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